Question
Between Wendy's and McDonald's, which fast-food drive-through window is faster? To answer the question, a random sample of service times in seconds for each restaurant
Between Wendy's and McDonald's, which fast-food drive-through window is faster? To answer the question, a random sample of service times in seconds for each restaurant was measured. The data are shown below.
a. What is the point estimate for the difference in the mean service times in seconds between Wendy's and McDonald's?
b. Identify the null and alternative hypotheses used to test if the mean service time for McDonald's is greater than for Wendy's.
c. Identify the test that would be used to carry out the hypothesis test for the hypotheses in part c.
d. At a 0.05 level of significance, test to see if the mean service time for McDonald's is greater than for Wendy's. Justify and explain the conclusions.
e. Find the 95% interval estimate for the difference in the mean service time in seconds between Wendy's and McDonald's.
Wendys 133 144 155 159 143 153 114 140 161 147 179 139 204 155 160 138 142 177 125 203 149 143 138 205 127 163 127 155 129 124 144 153 191 131 163 156 144 152 127 149 95 187 150 165 152 158 149 141 170 157 107 128 165 163 141 179 119 153 168 119 166 170 149 119 141 155 165 132 143 124 166 136 121 172 132 116 166 169 181 166 194 188 175 133 135 134 142 124 139 158 127 143 144 157 144 125 128 131 162 141 142 121 121 140 143 166 172 147 192 119 145 136 154 147 135 160 142 142 168 164 173 168 131 124 153 126 153 145 176 140 178 154 176 155 172 122 180 129 199 139 164 123 153 173 164 192 156 117 157 148 139 189 131 112 161 174 145 115 164 126 161 151 164 152 134 175 168 190 167 160 176 146 162 137 147 135 107 139 123 133 183 141 105 164 144 135 114 172 107 136 173 159 158 184 127 138 162 166 136 165 158 140 160 189 187 165 168 149 123 168 121 124 98
McDonalds 186 156 142 136 125 195 178 132 156 151 173 134 188 169 185 134 181 149 192 179 146 134 127 153 146 192 163 112 157 120 120 137 158 166 234 174 134 149 134 125 145 169 102 124 107 136 148 150 130 147 150 124 153 125 173 167 154 115 195 118 174 150 183 178 156 145 125 158 166 176 133 143 165 166 156 164 125 176 174 149 127 193 101 143 156 139 189 153 147 157 151 170 133 151 144 186 114 144 225 150 132 166 139 206 147 176 117 161 160 158 155 183 179 165 164 168 183 171 181 135 160 162 166 165 171 160 144 138 171 163 165 138 154 174 195 145 114 153 161 181 120 158 150 190 144 116 140 169 136 196 163 159 170 171 178 192 115 144 156 170 168 134 150 123 143 143 201 155 168 155 133 170 158 160 148 195 177 164 151 97 112 161 140 140 120 163 104 145 179 135 199 128 135 170 161 142 129 158 153 178 134 164
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